Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp220.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16089/30·(12−2)/1000 + 2)·30 = 220.9 m
Max Vert Disp132.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 220.9 × 0.6 = 132.5 m
Med Horiz Disp76 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 220.9 × 0.344 (σ=1.8) = 76 m
Med Vert Disp45.6 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 132.5 × 0.344 (σ=1.8) = 45.6 m
Dispersion familyUS/UK BB Disp.
2.5% overall improvement compared to EU BB Disp.
AP Pen Close847.6 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: 1e-7 × Krupp × mass^0.69 × caliber_m^-1.07 × v0^1.38 = 1e-7 × 2520 × 1225^0.69 × 0.406^-1.07 × 762^1.38 = 847.6 mm. Matches the in-game spec card.
AP Pen Far468.9 mm
Same formula at the ship's max firing range (22.1 km), where the shell has slowed to 496.2 m/s: 1e-7 × 2520 × 1225^0.69 × 0.406^-1.07 × 496.2^1.38 = 468.9 mm.
HE penetration68 mm
68 mm ≈ 406 mm caliber / 6 (standard HE penetration ratio).
AP overmatch28 mm
floor(406 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius250
AP shell over-penetration splash radius; scales with shell mass. Wickes 102mm = 3, standard 152mm CL ~ 20, Iowa 406mm ~ 270, Yamato 460mm = 400, Incomparable 650mm = 550 (max). Larger value = bigger splash damage area when AP over-pens.
Broadside guns used for alpha9
All 9 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha51,300
5,700 HE damage x 9 broadside guns = 51,300.
AP full-salvo alpha117,900
13,100 AP damage x 9 broadside guns = 117,900.
Base HE DPM99,290 Δ
51,300 HE full-salvo alpha x 60 / 31 s base reload = 99,290
Base AP DPM228,194 Δ
117,900 AP full-salvo alpha x 60 / 31 s base reload = 228,194
Installed HE DPM110,323 Δ
51,300 HE full-salvo alpha x 60 / 27.9 s installed reload (Main Battery Mod. 3 = -10%) = 110,323
Installed AP DPM253,548 Δ
117,900 AP full-salvo alpha x 60 / 27.9 s installed reload (Main Battery Mod. 3 = -10%) = 253,548
Base shells/min17 Δ
9 broadside guns x 60 / 31 s base reload = 17
Installed shells/min19 Δ
9 broadside guns x 60 / 27.9 s installed Artillery reload = 19
Base fires/min6.27 Δ
9 HE shells x 60 / 31 s reload x 36% fire chance = 6.27
Installed fires/min6.97 Δ
9 HE shells x 60 / 27.9 s installed reload x 36% fire chance = 6.97
AA defense
AA DPS at max range131
Only families that reach 5 km contribute at the outer edge of the AA bubble. In-game families: 127mm 10x2 -> 131 DPS @ 5 km; 40mm ?x? -> 278 DPS @ 3.5 km; 20mm ?x? -> 265 DPS @ 2 km.
Maximum AA range5 km
Longest-reaching family on the in-game AA card. Decoded AirDefense aura max range is 3.5 km; dual-purpose mount auras extend it.
AA DPS layered by range131 DPS @ 5 km, 409 DPS @ 3.5 km, 674 DPS @ 2 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank674
Sum of every family's average DPS, achievable only inside the closest-range family (2 km).
AA threat index2158
SUM over AA auras of (aura DPS x aura range km). A plane crossing the AA bubble is exposed to each aura for a time proportional to that aura's range, so long-reach DPS is worth more than the same DPS in a short bubble. Units: DPS*km; used to rank overall AA threat across the cohort.
Near aura range2 km
Secondary battery firepower
Secondary DPM (per side)180,000
Sum across all secondary families of (per-side barrels × 60 / reload_s × alpha), where per-side barrels = mounts × barrels-per-mount / 2 (the guns that bear on one broadside target). Per-family: 10×2 127 mm (10/side) × 60/6 × 1800 = 180,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% from the 127 mm family.
Max HE pen21 mm
Maximum HE armor penetration across secondary HE families (caliber × 1/6 for most nations; 1/4 for German/UK BBs). Shells whose pen falls under a plate's armor thickness shatter for 0 hull damage though fire chance still applies. Best on this ship: 21 mm from the 127 mm family.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster